Abstract. We exhibit explicit Lipschitz maps from Rn to Rn which have almost everywhere orthogonal gradient and are equal to zero on the boundary of a cube. We solve the problem by induction on the dimension n.

On the n-dimensional Dirichlet problem for isometric maps

PAOLINI, EMANUELE
2008

Abstract

Abstract. We exhibit explicit Lipschitz maps from Rn to Rn which have almost everywhere orthogonal gradient and are equal to zero on the boundary of a cube. We solve the problem by induction on the dimension n.
B., Dacorogna; P., Marcellini; Paolini, Emanuele
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11568/819533
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